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Finding the Fourth Proportional to 347,149.35, 478,873.18 and 201,938.80

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Solution

The fourth proportional to 347,149.35, 478,873.18 and 201,938.80 is: 278,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,149.35 : 478,873.18 = 201,938.80 : x
  2. Step 2: Convert to fraction form
    347,149.35/478,873.18 = 201,938.80/x
  3. Step 3: Cross multiply
    347,149.35x = 478,873.18 × 201,938.80
  4. Step 4: Simplify right side
    347,149.35x = 96,703,075,321.38
  5. Step 5: Solve for x
    x = 96,703,075,321.38/347,149.35
  6. Step 6: Final answer
    x = 278,563.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.